Forty randomly selected students were asked the number of pairs of sneakers they owned. Let X = the number of pairs of sneakers owned. The results are as follows:XFrequencyRelative FrequencyCumulative Relative Frequency12 24 38 412 512 62 Part (a)Find the sample mean x. (Round your answer to two decimal places.)Part (b)Find the sample standard deviation, s. (Round your answer to two decimal places.)Part (c)Construct a histogram of the data. Part (d)Complete the columns of the chart. (Round your answers to three decimal places.)XFrequencyRelative FrequencyCumulative Relative Frequency12 24 38 412 512 62 Part (e)Find the first quartile.Part (f)Find the median.Part (g)Find the third quartile.Part (h)Construct a box plot of the data. Part (i)What percent of the students owned at least five pairs? (Round your answer to one decimal place.) %Part (j)Find the 40th percentile.Part (k)Find the 90th percentile. Can you please show step by step how you arrive to the answer

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Description: Forty randomly selected students were asked the number of pairs of sneakers they owned. Let X = the number of pairs of sneakers owned. The results are as follows:XFrequencyRelative FrequencyCumulative Relative Frequency12 24 38 412 512 62 Part

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Forty randomly selected students were asked the number of pairs of sneakers they owned. Let X = the number of pairs of sneakers owned. The results are as follows:

X	Frequency	Relative Frequency	Cumulative Relative Frequency
1	2
2	4
3	8
4	12
5	12
6	2

Part (a)

Find the sample mean x. (Round your answer to two decimal places.)
Part (b)

Find the sample standard deviation, s. (Round your answer to two decimal places.)
Part (c)

Construct a histogram of the data.
Part (d)

Complete the columns of the chart. (Round your answers to three decimal places.)

X Frequency Relative Frequency Cumulative Relative Frequency

1 2

2 4

3 8

4 12

5 12

6 2
Part (e)

Find the first quartile.
Part (f)

Find the median.
Part (g)

Find the third quartile.
Part (h)

Construct a box plot of the data.
Part (i)

What percent of the students owned at least five pairs? (Round your answer to one decimal place.)
%
Part (j)

Find the 40th percentile.
Part (k)

Find the 90th percentile.

Can you please show step by step how you arrive to the answer

Expert Solution

Step 1

As per guidelines we will only answer first three parts for the solution.

Given information:

X = the number of pairs of sneakers owned.

Use the given table to form the excel table:

X	Frequency	X*F(X)	${(X - \bar{X})}^{2}$	$F (X) * {(X - \bar{X})}^{2}$
1	2	2	8.1225	16.245
2	4	8	3.4225	13.69
3	8	24	0.7225	5.78
4	12	48	0.0225	0.27
5	12	60	1.3225	15.87
6	2	12	4.6225	9.245
Sum	40	154	18.235	61.1

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